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Explicit estimates for Artin $L$-functions: Duke's short-sum theorem and Dedekind Zeta Residues

Published 28 Jan 2021 in math.NT | (2101.11853v5)

Abstract: Under GRH, we establish a version of Duke's short-sum theorem for entire Artin $L$-functions. This yields corresponding bounds for residues of Dedekind zeta functions. All numerical constants in this work are explicit.

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